A Finite Element Method Using Singular Functions for Helmholtz Equations: Part I
نویسندگان
چکیده
In [7, 8], they proposed a new singular function(NSF) method to compute singular solutions of Poisson equations on a polygonal domain with re-entrant angles. Singularities are eliminated and only the regular part of the solution that is in H is computed. The stress intensity factor and the solution can be computed as a post processing step. This method was extended to the interface problem and Poisson equations with the mixed boundary condition. In this paper, we give NSF method for the Helmholtz equations−∆u+Ku = f with homogeneous Dirichlet boundary condition. Examples with a singular point are given with numerical results.
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